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40201403424 = 2537134601809
BaseRepresentation
bin100101011100001100…
…001011110000100000
310211202201000220001120
4211130030023300200
51124313024402144
630245051332240
72622141201540
oct453414136040
9124681026046
1040201403424
111605a70a456
12795b451080
133a38a0b5a0
141d35237320
1510a451be19
hex95c30bc20

40201403424 has 96 divisors (see below), whose sum is σ = 129881485440. Its totient is φ = 10602565632.

The previous prime is 40201403419. The next prime is 40201403447. The reversal of 40201403424 is 42430410204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40201403394 and 40201403403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292169 + ... + 2309640.

It is an arithmetic number, because the mean of its divisors is an integer number (1352932140).

Almost surely, 240201403424 is an apocalyptic number.

It is an amenable number.

40201403424 is an abundant number, since it is smaller than the sum of its proper divisors (89680082016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40201403424 is a wasteful number, since it uses less digits than its factorization.

40201403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601842 (or 4601834 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40201403424 its reverse (42430410204), we get a palindrome (82631813628).

The spelling of 40201403424 in words is "forty billion, two hundred one million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 4601809 9203618 13805427 18407236 27610854 32212663 36814472 55221708 59823517 64425326 73628944 96637989 110443416 119647034 128850652 147257888 179470551 193275978 220886832 239294068 257701304 358941102 386551956 418764619 441773664 478588136 515402608 717882204 773103912 837529238 957176272 1030805216 1256293857 1435764408 1546207824 1675058476 1914352544 2512587714 2871528816 3092415648 3350116952 5025175428 5743057632 6700233904 10050350856 13400467808 20100701712 40201403424